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Curated Video
Circles Basics (Vocabulary)
In this video, we define the different parts of the circle with the correct notation.
Curated Video
Central Angles, Inscribed Angles, and Arcs
In this video, we solve problems using the relationship between inscribed angles, central angles, and arcs (in circles).
Curated Video
Arc Measure vs Arc Length
In this video, we try to build a conceptual understanding of how to find arc length of a circle using a the proportion strategy or the equation strategy. *Important note: the arc measure is independent of the radius! *In the example at...
Curated Video
Sector Area (proportion AND equation)
You can use a formula (equation) or a proportion to find sector area. This video shows to to do both strategies. The final example has you "work backwards" where you are given the sector area and you have to solve for the radius.
Curated Video
Geometric Probability (Areas)
This video discusses how to find geometric probability using the formula (area of a success)/(total area). We begin by defining the geometric probability, then we look at several examples, including an example with a number line. These...
Brian McLogan
Given a point find the six trigonometric functions of the angle
In this video series I show you how to evaluate the six trigonometric functions when given a point. We do this by creating a right triangle and finding the hypotenuse by using the Pythagorean theorem. #trigonometry...
Curated Video
Introduction to Radian Measure: Measuring Angles Beyond Degrees
In this video lesson, students will learn about measuring angles in radians. They will understand that the radian measure of an angle is found by dividing the arc length by the radius of a circle. The video explains the concept of...
Brian McLogan
How to set up your triangle when given a point to evaluate trig functions
👉 Learn how to evaluate the six trigonometric functions given a point. When given a point, there are many ways to evaluate the trigonometric functions of the point. The methods include: using the unit circle if the point is a point on...
Brian McLogan
Given a point learn how to evaluate the six trig functions with reference angle
👉 Learn all about evaluating trigonometric functions with triangles. In this playlist, we will learn how to evaluate, sine, cosine, tangent, cotangent, secant, and cosecant when given the sides of a triangle. If we have missing sides we...
Curated Video
Finding the Measure of Circumscribed Angles: Relationships with Central Angles
In this video, we learn how to find the measure of a circumscribed angle by understanding the relationship between central angles and circumscribed angles. By manipulating angles within quadrilaterals and using the properties of...
Curated Video
Angle Relationships in Cyclic Quadrilaterals
In this video, the teacher explains the concept of opposite angles in a cyclic quadrilateral and demonstrates how to find their sum using the central angle theorem. The central angle theorem states that the measure of an inscribed angle...
Brian McLogan
What are the definitions of trigonometric functions of any angle
👉 Learn about the trigonometric functions using the unit circle. The trigonometric function of an angle is the value of the trigonometric functions of sine, cosine, tangent, cosecant, secant and cotangent of that angle. To use the unit...
Brian McLogan
How to draw a triangle using a central angle with a point not on the unit circle
👉 Learn how to evaluate the six trigonometric functions given a point. When given a point, there are many ways to evaluate the trigonometric functions of the point. The methods include: using the unit circle if the point is a point on...
Brian McLogan
Using an inscribed angle to determine the measure of an arc on a circle
Learn how to solve problems with arcs of a circle. An arc is a curve made by two points on the circumference of a circle. The measure of an arc corresponds to the central angle made by the two radii from the center of the circle to the...
Brian McLogan
How to find the measure of an angle using inscribed angles
Learn how to solve problems with arcs of a circle. An arc is a curve made by two points on the circumference of a circle. The measure of an arc corresponds to the central angle made by the two radii from the center of the circle to the...
Brian McLogan
Find the length of a arc given the radius of a circle
Learn how to solve problems with arcs of a circle. An arc is a curve made by two points on the circumference of a circle. The measure of an arc corresponds to the central angle made by the two radii from the center of the circle to the...
Brian McLogan
What is the definition of an inscribed angle
Learn the essential definitions of the parts of a circle. A secant line to a circle is a line that crosses exactly two points on the circle while a tangent line to a circle is a line that touches exactly one point on the circle. A chord...
Brian McLogan
Learn to determine the length of an arc for a circle
Learn how to solve problems with arcs of a circle. An arc is a curve made by two points on the circumference of a circle. The measure of an arc corresponds to the central angle made by the two radii from the center of the circle to the...
Brian McLogan
What are the points on a unit circle in terms of 30 degrees
👉 Learn about the points on the unit circle. A unit circle is a circle which radius is 1 and is centered at the origin in the cartesian coordinate system. To construct the unit circle we take note of the points where the unit circle...
Brian McLogan
What is the measure of the arc if two chords are congruent
Learn how to solve problems with arcs of a circle. An arc is a curve made by two points on the circumference of a circle. The measure of an arc corresponds to the central angle made by the two radii from the center of the circle to the...
Brian McLogan
How to determine the measure of an arc from an inscribed angle
Learn how to solve problems with arcs of a circle. An arc is a curve made by two points on the circumference of a circle. The measure of an arc corresponds to the central angle made by the two radii from the center of the circle to the...
Brian McLogan
Determine the quadrant to sketch your angle based on the constraint
👉 Learn how to determine the quadrant given the constraint. The plane is divided into four equal parts called the quadrants with the region between the positive x-axis and the positive y-axis called the 1st quadrant having angles 0 to 90...
Brian McLogan
Learn how to find the length of an arc
Learn how to solve problems with arcs of a circle. An arc is a curve made by two points on the circumference of a circle. The measure of an arc corresponds to the central angle made by the two radii from the center of the circle to the...
Brian McLogan
Given the radius of a circle find the length of an arc
Learn how to solve problems with arcs of a circle. An arc is a curve made by two points on the circumference of a circle. The measure of an arc corresponds to the central angle made by the two radii from the center of the circle to the...